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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 2, Pages 315–321 (Mi tmf1592)  
Soliton dynamics for near integrable differential-difference equations

Russell L. Herman

University of North Carolina Wilmington
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Abstract: In this talk, we consider both the spectral and the direct perturbation methods for studying perturbations an integrable differential-difference equation, the Toda lattice. Both methods employ the formalism of inverse scattering to represent the corrections in terms of an appropriate basis of squared eigenfunctions.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 2, Pages 611–616
DOI: https://doi.org/10.1007/BF01016147
Bibliographic databases:
Language: English
Citation: Russell L. Herman, “Soliton dynamics for near integrable differential-difference equations”, TMF, 99:2 (1994), 315–321; Theoret. and Math. Phys., 99:2 (1994), 611–616
Citation in format AMSBIB
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\paper Soliton dynamics for near integrable differential-difference equations
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\vol 99
\issue 2
\pages 315--321
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\zmath{https://zbmath.org/?q=an:0850.35114}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 2
\pages 611--616
\crossref{https://doi.org/10.1007/BF01016147}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PV07100019}
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